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A ball of mass mb and volume V is lowered on a string into a fluid...

A ball of mass mb and volume V is lowered on a string into a fluid of density ρf. (Figure 1) Assume that the object would sink to the bottom if it were not supported by the string.

What is the tension T in the string when the ball is fully submerged but not touching the bottom, as shown in the figure? Express your answer in terms of any or all of the given quantities and g, the magnitude of the acceleration due to gravity.

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Answer #1

Tension = apparent weight

= True weight - bouyant force

=mg - V(rho)g

= mg -V g

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